1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crank
3 years ago
12

The 200 meter race times at a state track meet are normally distributed with a mean of 13.56 seconds and a standard deviation of

2.24 seconds. Using the standard normal probabilities table, what is the approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds?
A. 0.4880
B. 0.6331
C. 0.7422
D. 0.5714
E. 0.7910
Mathematics
2 answers:
BaLLatris [955]3 years ago
8 0

Answer:

A. 0.4880

Step-by-step explanation:

First, find the z-score:

z = (x − μ) / σ

z = (13.5 − 13.56) / 2.24

z = -0.03

Using a z-score table:

P(z < -0.03) = 0.4880

BaLLatris [955]3 years ago
7 0
0.4880 is the approximate probability
You might be interested in
QUICK PLEASE HELP. I'm offering 15pt and brainliest answer.
worty [1.4K]
X would be equal to 6
4 0
3 years ago
Read 2 more answers
Factor completely 6x^2-7x-3
hichkok12 [17]
x =   \frac{-(-7) +/-  \sqrt{(-7)^{2}-4(6)(-3) }  }{2(6)}
\frac{7 +/- 11}{12}
x = 3/2 or -1/3


6 0
3 years ago
Darren wanted to see how contagious yawning can be. To better understand this, he conducted a social experiment in which he yawn
denis23 [38]

Answer:

10.5 minutes

Step-by-step explanation:

Thinking about the problem

The modeling function is of the form P(t)=A⋅Bf(t), where B=4B=4B, equals, 4 and f(t)=\dfrac{t}{10.5}f(t)=

10.5

t

​

f, left parenthesis, t, right parenthesis, equals, start fraction, t, divided by, 10, point, 5, end fraction.

Note that each time f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111, the quantity is multiplied by B=4B=4B, equals, 4.

Therefore, we need to find the ttt-interval over which f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111.

Hint #22 / 3

Finding the appropriate unit interval

fff is a linear function whose slope is \dfrac{1}{10.5}

10.5

1

​

start fraction, 1, divided by, 10, point, 5, end fraction.

This means that whenever ttt increases by \Delta tΔtdelta, t, f(t)f(t)f, left parenthesis, t, right parenthesis increases by \dfrac{\Delta t}{10.5}

10.5

Δt

​

start fraction, delta, t, divided by, 10, point, 5, end fraction.

Therefore, for f(t)f(t)f, left parenthesis, t, right parenthesis to increase by 111, we need \Delta t=10.5Δt=10.5delta, t, equals, 10, point, 5. In other words, the ttt-interval we are looking for is 10.510.510, point, 5 minutes.

Hint #33 / 3

Summary

The number of people who yawned quadruples every 10.510.510, point, 5 minutes.

7 0
3 years ago
Multiply and divide fractions​
storchak [24]

Answer:

I would need to see the problem.

4 0
3 years ago
Read 2 more answers
Find the range of y = -3x + 7 for the domain {-8, -6, -3, -2, 2}
svetlana [45]
The domain is the set of x-values of a function. The range is the set of y-values of a function.

You are told that the domain, or x-values, are -8, -6, -3, -2, and 2. To find the range, you just need to plug in each of the x-values into the function <span>y = -3x + 7 and find the value of y.
1) When x = -8:
</span><span>y = -3x + 7
y = -3(-8) + 7
y = 24 + 7
y = 31

2) When x = -6
</span>y = -3x + 7
y = -3(-6) + 7
y = 18 + 7
y = 25

3) When x = -3
y = -3x + 7
y = -3(-3) + 7
y = 9 + 7
y = 16

4) When x = -2
y = -3x + 7
y = -3(-2) + 7
y = 6 + 7
y = 13

5) When y = 2
y = -3x + 7
y = -3(2) + 7
y = -6 + 7
y = 1

The range is {31, 25, 16, 13, 1}.

-------

Answer: 
{31, 25, 16, 13, 1}
5 0
3 years ago
Other questions:
  • 1.) Write in standard form: one hundred fifty-three and fifty-one<br> hundredths.
    15·2 answers
  • How many diagonals can be drawn from a vertex of an n-gon?
    7·1 answer
  • Need help with this one
    6·1 answer
  • Adding and subtracting With Scientific notation<br><br><br>Please help
    9·1 answer
  • 22. Draw Conclusions lf two angles are complementary, each angle is called
    9·2 answers
  • Is 12 years a MACRS recovery period?
    15·1 answer
  • Please help WILL MARK BRAINLIEST
    9·2 answers
  • What’s the measure of STX?
    13·1 answer
  • Write each mixed number as an improper fraction :<br><br>2 3/7​
    7·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csf%20-4%289x%2B9%29" id="TexFormula1" title="\sf -4(9x+9)" alt="\sf -4(9x+9)" align="absmid
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!